How many ways are there to construct a string of 3 digits from the decimal numbering system if the numbers cannot be repeated

There are total 720 ways according to the permutation by which construct a string of 3 digits from the decimal numbering system.

According to the statement

we have to tell that by how many ways we construct a string of 3 digits from the decimal numbering system.

So, For this purpose,

let a three digits from 0 to 9.

So, There are total digits are 10 and we have to construct three digits.

so, we use permutation here:

Permutation are one of the two different ways of grouping elements of a set into subsets. In a permutation, the elements of the subset are listed in a specific order.

So, here become P(10,3)

And according to formula it become

P(10,3) = 10! / 7!

P(10,3) = 10 * 9 * 8

P(10,3) = 720.

So, There are total 720 ways according to the permutation by which construct a string of 3 digits from the decimal numbering system.

permutationby which construct a string of 3 digits from the decimal numbering system.Permutationare one of the two different ways of grouping elements of a set into subsets. In a permutation, the elements of the subset are listed in a specific order.permutationby which construct a string of 3 digits from the decimal numbering system.permutationhere